Solve {22 - (-2)(4)}/-2-(2x^2)

Question

Simplify the expression

- 15 - 2 x^{2}

Evaluate

\frac{22 - ( - 2 ) \times 4}{- 2} - 2 x^{2}

Remove the parentheses

\frac{22 - ( - 2 \times 4 )}{- 2} - 2 x^{2}

Multiply the numbers

\frac{22 - ( - 8 )}{- 2} - 2 x^{2}

Subtract the terms

More Steps

Simplify

22 - (- 8)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

22 + 8

Add the numbers

30

\frac{30}{- 2} - 2 x^{2}

Solution

More Steps

Evaluate

\frac{30}{- 2}

Reduce the numbers

\frac{- 15}{1}

Calculate

- 15

- 15 - 2 x^{2}

Show Solution

Find the roots

x_{1} = - \frac{30}{2} i, x_{2} = \frac{30}{2} i

Alternative Form

x_{1} \approx - 2.738613 i, x_{2} \approx 2.738613 i

Evaluate

\frac{22 - ( - 2 ) \times 4}{- 2} - (2 x^{2})

To find the roots of the expression,set the expression equal to 0

\frac{22 - ( - 2 ) \times 4}{- 2} - (2 x^{2}) = 0

Remove the parentheses

\frac{22 - ( - 2 \times 4 )}{- 2} - (2 x^{2}) = 0

Multiply the terms

\frac{22 - ( - 2 \times 4 )}{- 2} - 2 x^{2} = 0

Multiply the numbers

\frac{22 - ( - 8 )}{- 2} - 2 x^{2} = 0

Subtract the terms

More Steps

Simplify

22 - (- 8)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

22 + 8

Add the numbers

30

\frac{30}{- 2} - 2 x^{2} = 0

Divide the terms

More Steps

Evaluate

\frac{30}{- 2}

Reduce the numbers

\frac{- 15}{1}

Calculate

- 15

- 15 - 2 x^{2} = 0

Move the constant to the right-hand side and change its sign

- 2 x^{2} = 0 + 15

Removing 0 doesn't change the value,so remove it from the expression

- 2 x^{2} = 15

Change the signs on both sides of the equation

2 x^{2} = - 15

Divide both sides

\frac{2 x ^{2}}{2} = \frac{- 15}{2}

Divide the numbers

x^{2} = \frac{- 15}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x^{2} = - \frac{15}{2}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm - \frac{15}{2}

Simplify the expression

More Steps

Evaluate

- \frac{15}{2}

Evaluate the power

\frac{15}{2} \times - 1

Evaluate the power

\frac{15}{2} \times i

Evaluate the power

More Steps

Evaluate

\frac{15}{2}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{15}{2}

Multiply by the Conjugate

\frac{15 \times 2}{2 \times 2}

Multiply the numbers

\frac{30}{2 \times 2}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{30}{2}

\frac{30}{2} i

x = \pm \frac{30}{2} i

Separate the equation into 2 possible cases

x = \frac{30}{2} i x = - \frac{30}{2} i

Solution

x_{1} = - \frac{30}{2} i, x_{2} = \frac{30}{2} i

Alternative Form

x_{1} \approx - 2.738613 i, x_{2} \approx 2.738613 i

Show Solution